Question

2 1/ 3 *6/ 7 - 2 1/ 4 :6 3/ 4 решение

Answer 1

Ответ: 1 2/3

Пошаговое объяснение: ↓↓ по действиям... ↓↓

2 1/3 * 6/7 - 2 1/4 : 6 3/4= 1 2/3

1)  2 1/3 * 6/7 = 7/3 * 6/7 = 2

2)  2 1/4 : 6 3/4 =  9/4 * 4/27 = 1/3

3)  2 - 1/3 = 1 3/3 - 1/3 = 1 2/3

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Answer 2

Ответ:

2 1/3 * 6/7 - 2 1/4 : 6 3/4 = 1 2/3

Пошаговое объяснение:

1) 2 1/3 * 6/7 = 7/3 * 6/7 = 6/3 = 2

2) 2 1/4 : 6 3/4 = 9/4 : 27/4 = 9/4 * 4/27 = 1/3

3) 2 - 1/3 = 1 2/3

Answer 3

To solve the expression 2 1/3 * 6/7 - 2 1/4 : 6 3/4, we need to follow the order of operations (PEMDAS/BODMAS):

P: Parentheses (or Brackets) E: Exponents (or Orders) MD: Multiplication and Division (from left to right) AS: Addition and Subtraction (from left to right)

Here's the step-by-step solution:

Step 1: Convert mixed numbers to improper fractions. 2 1/3 = (2 * 3 + 1) / 3 = 7 / 3 2 1/4 = (2 * 4 + 1) / 4 = 9 / 4 6 3/4 = (6 * 4 + 3) / 4 = 27 / 4

Step 2: Perform multiplication and division from left to right. (7/3 * 6/7) - (9/4 ÷ 27/4)

Step 3: Perform the operations inside the parentheses first. (7/3 * 6/7) = (7 * 6) / (3 * 7) = 42 / 21 = 2

Step 4: Perform division. (2) - (9/4 ÷ 27/4)

To divide fractions, invert the second fraction and multiply: (2) - (9/4 * 4/27)

Step 5: Perform the multiplication of fractions. (2) - (36 / 108)

Step 6: Simplify the fraction. (2) - (1 / 3)

Step 7: Perform the subtraction. 2 - 1/3 = 2 - (1/3) = 2 - 0.333... = 1.666...

So, the solution to the expression is approximately 1.666.